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Finding the Fourth Proportional to 23,211.50, 32,058.24 and 15,644.78

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Solution

The fourth proportional to 23,211.50, 32,058.24 and 15,644.78 is: 21,607.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,211.50 : 32,058.24 = 15,644.78 : x
  2. Step 2: Convert to fraction form
    23,211.50/32,058.24 = 15,644.78/x
  3. Step 3: Cross multiply
    23,211.50x = 32,058.24 × 15,644.78
  4. Step 4: Simplify right side
    23,211.50x = 501,544,111.99
  5. Step 5: Solve for x
    x = 501,544,111.99/23,211.50
  6. Step 6: Final answer
    x = 21,607.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.